Conformal Operators on Weighted Forms; Their Decomposition and Null Space on Einstein Manifolds.

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F14%3A00073572" target="_blank" >RIV/00216224:14310/14:00073572 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00023-013-0258-4" target="_blank" >http://dx.doi.org/10.1007/s00023-013-0258-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00023-013-0258-4" target="_blank" >10.1007/s00023-013-0258-4</a>

Result language
angličtina
Original language name
Conformal Operators on Weighted Forms; Their Decomposition and Null Space on Einstein Manifolds.
Original language description
There is a class of Laplacian like conformally invariant differential operators on differential forms $L^l_k$ which may be considered as the generalisation to differential forms of the conformally invariant powers of the Laplacian known as the Paneitz and GJMS operators. On conformally Einstein manifolds we give explicit formulae for these as factored polynomials in second-order differential operators. In the case that the manifold is not Ricci flat we use this to provide a direct sum decomposition of the null space of the $L^l_k$ in terms of the null spaces of mutually commuting second-order factors.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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